Construct a New System as a Combining Function for the LFSR in the Stream Cipher Systems Using Multiplicative Cyclic Group

  • Mithaq Abdulkareem Abdulwahed Department of Mathematics, Collage of Science, University of Baghdad, Baghdad, Iraq
  • Ayad G. Naser Al-Shammari Directorate General for Vocational Education Ministry of Education, Baghdad, Iraq
Keywords: Cryptography, LFSR, Stream Cipher, Multiplicative Cyclic Group

Abstract

In this paper, we construct a new mathematical system as Multiplicative Cyclic Group (MCG), called a New Digital Algebraic Generator (NDAG) Unit, which would generate digital sequences with good statistical properties. This new Unit can be considered as a new basic unit of stream ciphers.

A (NDAG) system can be constructed from collection of (NDAG) units using a Boolean function as a combining function of the system. This system could be used in cryptography as like as Linear Feedback Shift Register (LFSR) unit. This unit is basic component of  a stream cipher system.

Published
2018-08-30
How to Cite
Abdulwahed, M. A., & Al-Shammari, A. G. N. (2018). Construct a New System as a Combining Function for the LFSR in the Stream Cipher Systems Using Multiplicative Cyclic Group. Iraqi Journal of Science, 59(3B), 1490-1500. Retrieved from https://ijs.uobaghdad.edu.iq/index.php/eijs/article/view/470
Section
Mathematics